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Jul 14th, 2018
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  1. Fri Jun 29 21:18:23 2018
  2. Fri Jun 29 21:18:23 2018
  3. Fri Jun 29 21:18:23 2018 Msieve v. 1.52 (SVN unknown)
  4. Fri Jun 29 21:18:23 2018 random seeds: 3a6ed24a 2498abbd
  5. Fri Jun 29 21:18:23 2018 factoring 1984133939536354589303027747642021045122874173930740553315832970989684622609088659408935332189382042605741754839878732182271389575259718698134313541375575590360240175803193730105980774511023348271960042886569755527009 (217 digits)
  6. Fri Jun 29 21:18:24 2018 no P-1/P+1/ECM available, skipping
  7. Fri Jun 29 21:18:24 2018 commencing number field sieve (217-digit input)
  8. Fri Jun 29 21:18:24 2018 R0: 5575186299632655785383929568162090376495104
  9. Fri Jun 29 21:18:24 2018 R1: -1
  10. Fri Jun 29 21:18:24 2018 A0: -1
  11. Fri Jun 29 21:18:24 2018 A1: 0
  12. Fri Jun 29 21:18:24 2018 A2: 0
  13. Fri Jun 29 21:18:24 2018 A3: 0
  14. Fri Jun 29 21:18:24 2018 A4: 0
  15. Fri Jun 29 21:18:24 2018 A5: 0
  16. Fri Jun 29 21:18:24 2018 A6: 26
  17. Fri Jun 29 21:18:24 2018 skew 0.59, size 1.241e-12, alpha 0.805, combined = 1.345e-13 rroots = 2
  18. Fri Jun 29 21:18:24 2018
  19. Fri Jun 29 21:18:24 2018 commencing relation filtering
  20. Fri Jun 29 21:18:24 2018 setting target matrix density to 136.0
  21. Fri Jun 29 21:18:24 2018 estimated available RAM is 15888.3 MB
  22. Fri Jun 29 21:18:24 2018 commencing duplicate removal, pass 1
  23. Fri Jun 29 21:41:29 2018 error -15 reading relation 274525568
  24. Fri Jun 29 21:43:32 2018 error -15 reading relation 299230765
  25. Fri Jun 29 21:47:40 2018 error -15 reading relation 347998338
  26. ....
  27. Fri Jun 29 22:03:13 2018 error -1 reading relation 538773032
  28. Fri Jun 29 22:03:53 2018 skipped 848 relations with b > 2^32
  29. Fri Jun 29 22:03:53 2018 found 59099977 hash collisions in 546349411 relations
  30. Fri Jun 29 22:04:09 2018 added 1218589 free relations
  31. Fri Jun 29 22:04:09 2018 commencing duplicate removal, pass 2
  32. Fri Jun 29 22:07:25 2018 found 1 duplicates and 547567999 unique relations
  33. Fri Jun 29 22:07:25 2018 memory use: 2387.0 MB
  34. Fri Jun 29 22:07:25 2018 reading ideals above 220004352
  35. Fri Jun 29 22:07:25 2018 commencing singleton removal, initial pass
  36. Fri Jun 29 23:02:54 2018 memory use: 11024.0 MB
  37. Fri Jun 29 23:02:55 2018 removing singletons from LP file
  38. Fri Jun 29 23:02:55 2018 start with 547567999 relations and 543798428 ideals
  39. Fri Jun 29 23:04:53 2018 pass 1: found 221582777 singletons
  40. Fri Jun 29 23:06:29 2018 pruned dataset has 325985222 relations and 275831182 large ideals
  41. Fri Jun 29 23:06:29 2018 reading all ideals from disk
  42. Fri Jun 29 23:06:49 2018 memory use: 5658.3 MB
  43. Fri Jun 29 23:07:08 2018 commencing in-memory singleton removal
  44. Fri Jun 29 23:07:26 2018 begin with 325985222 relations and 275831182 unique ideals
  45. Fri Jun 29 23:11:19 2018 reduce to 234649007 relations and 178922885 ideals in 19 passes
  46. Fri Jun 29 23:11:19 2018 max relations containing the same ideal: 41
  47. Fri Jun 29 23:11:34 2018 reading ideals above 720000
  48. Fri Jun 29 23:11:34 2018 commencing singleton removal, initial pass
  49. Fri Jun 29 23:45:09 2018 memory use: 5512.0 MB
  50. Fri Jun 29 23:45:09 2018 reading large ideals from disk
  51. Fri Jun 29 23:46:55 2018 keeping 184779533 ideals with weight <= 20, target excess is 18385187
  52. Fri Jun 29 23:48:40 2018 memory use: 5332.2 MB
  53. Fri Jun 29 23:48:40 2018 commencing in-memory singleton removal
  54. Fri Jun 29 23:48:46 2018 begin with 234649007 relations and 184779533 unique ideals
  55. Fri Jun 29 23:49:59 2018 reduce to 234646484 relations and 184777010 ideals in 10 passes
  56. Fri Jun 29 23:49:59 2018 max relations containing the same ideal: 20
  57. Fri Jun 29 23:51:02 2018 removing 18198833 relations and 16198833 ideals in 2000000 cliques
  58. Fri Jun 29 23:51:08 2018 commencing in-memory singleton removal
  59. Fri Jun 29 23:51:13 2018 begin with 216447651 relations and 184777010 unique ideals
  60. Fri Jun 29 23:52:32 2018 reduce to 215303680 relations and 167420237 ideals in 12 passes
  61. Fri Jun 29 23:52:32 2018 max relations containing the same ideal: 20
  62. Fri Jun 29 23:53:29 2018 removing 13118511 relations and 11118511 ideals in 2000000 cliques
  63. Fri Jun 29 23:53:34 2018 commencing in-memory singleton removal
  64. Fri Jun 29 23:53:39 2018 begin with 202185169 relations and 167420237 unique ideals
  65. Fri Jun 29 23:54:39 2018 reduce to 201494336 relations and 155603643 ideals in 10 passes
  66. Fri Jun 29 23:54:39 2018 max relations containing the same ideal: 20
  67. Fri Jun 29 23:55:30 2018 removing 11541315 relations and 9541315 ideals in 2000000 cliques
  68. Fri Jun 29 23:55:34 2018 commencing in-memory singleton removal
  69. Fri Jun 29 23:55:38 2018 begin with 189953021 relations and 155603643 unique ideals
  70. Fri Jun 29 23:56:29 2018 reduce to 189374554 relations and 145477960 ideals in 9 passes
  71. Fri Jun 29 23:56:29 2018 max relations containing the same ideal: 20
  72. Fri Jun 29 23:57:17 2018 removing 10590482 relations and 8590482 ideals in 2000000 cliques
  73. Fri Jun 29 23:57:21 2018 commencing in-memory singleton removal
  74. Fri Jun 29 23:57:25 2018 begin with 178784072 relations and 145477960 unique ideals
  75. Fri Jun 29 23:58:12 2018 reduce to 178245118 relations and 136342944 ideals in 9 passes
  76. Fri Jun 29 23:58:12 2018 max relations containing the same ideal: 20
  77. Fri Jun 29 23:58:57 2018 removing 10042628 relations and 8042628 ideals in 2000000 cliques
  78. Fri Jun 29 23:59:01 2018 commencing in-memory singleton removal
  79. Fri Jun 29 23:59:05 2018 begin with 168202490 relations and 136342944 unique ideals
  80. Fri Jun 29 23:59:46 2018 reduce to 167690411 relations and 127782838 ideals in 8 passes
  81. Fri Jun 29 23:59:46 2018 max relations containing the same ideal: 20
  82. Sat Jun 30 00:00:29 2018 removing 9600077 relations and 7600077 ideals in 2000000 cliques
  83. Sat Jun 30 00:00:32 2018 commencing in-memory singleton removal
  84. Sat Jun 30 00:00:36 2018 begin with 158090334 relations and 127782838 unique ideals
  85. Sat Jun 30 00:01:21 2018 reduce to 157587647 relations and 119674465 ideals in 10 passes
  86. Sat Jun 30 00:01:21 2018 max relations containing the same ideal: 20
  87. Sat Jun 30 00:02:02 2018 removing 9316633 relations and 7316633 ideals in 2000000 cliques
  88. Sat Jun 30 00:02:05 2018 commencing in-memory singleton removal
  89. Sat Jun 30 00:02:09 2018 begin with 148271014 relations and 119674465 unique ideals
  90. Sat Jun 30 00:02:47 2018 reduce to 147773716 relations and 111854685 ideals in 9 passes
  91. Sat Jun 30 00:02:47 2018 max relations containing the same ideal: 20
  92. Sat Jun 30 00:03:25 2018 removing 9041817 relations and 7041817 ideals in 2000000 cliques
  93. Sat Jun 30 00:03:28 2018 commencing in-memory singleton removal
  94. Sat Jun 30 00:03:32 2018 begin with 138731899 relations and 111854685 unique ideals
  95. Sat Jun 30 00:04:07 2018 reduce to 138221209 relations and 104295751 ideals in 9 passes
  96. Sat Jun 30 00:04:07 2018 max relations containing the same ideal: 20
  97. Sat Jun 30 00:04:43 2018 removing 8906945 relations and 6906945 ideals in 2000000 cliques
  98. Sat Jun 30 00:04:46 2018 commencing in-memory singleton removal
  99. Sat Jun 30 00:04:49 2018 begin with 129314264 relations and 104295751 unique ideals
  100. Sat Jun 30 00:05:22 2018 reduce to 128807224 relations and 96875076 ideals in 9 passes
  101. Sat Jun 30 00:05:22 2018 max relations containing the same ideal: 20
  102. Sat Jun 30 00:05:56 2018 removing 8665275 relations and 6665275 ideals in 2000000 cliques
  103. Sat Jun 30 00:05:58 2018 commencing in-memory singleton removal
  104. Sat Jun 30 00:06:01 2018 begin with 120141949 relations and 96875076 unique ideals
  105. Sat Jun 30 00:06:31 2018 reduce to 119585006 relations and 89644794 ideals in 9 passes
  106. Sat Jun 30 00:06:31 2018 max relations containing the same ideal: 20
  107. Sat Jun 30 00:07:03 2018 removing 8658923 relations and 6658923 ideals in 2000000 cliques
  108. Sat Jun 30 00:07:06 2018 commencing in-memory singleton removal
  109. Sat Jun 30 00:07:08 2018 begin with 110926083 relations and 89644794 unique ideals
  110. Sat Jun 30 00:07:36 2018 reduce to 110372450 relations and 82423715 ideals in 9 passes
  111. Sat Jun 30 00:07:36 2018 max relations containing the same ideal: 19
  112. Sat Jun 30 00:08:05 2018 removing 8424623 relations and 6424623 ideals in 2000000 cliques
  113. Sat Jun 30 00:08:08 2018 commencing in-memory singleton removal
  114. Sat Jun 30 00:08:10 2018 begin with 101947827 relations and 82423715 unique ideals
  115. Sat Jun 30 00:08:38 2018 reduce to 101312177 relations and 75352653 ideals in 10 passes
  116. Sat Jun 30 00:08:38 2018 max relations containing the same ideal: 19
  117. Sat Jun 30 00:09:06 2018 removing 8466005 relations and 6466005 ideals in 2000000 cliques
  118. Sat Jun 30 00:09:08 2018 commencing in-memory singleton removal
  119. Sat Jun 30 00:09:10 2018 begin with 92846172 relations and 75352653 unique ideals
  120. Sat Jun 30 00:09:34 2018 reduce to 92195024 relations and 68223883 ideals in 9 passes
  121. Sat Jun 30 00:09:34 2018 max relations containing the same ideal: 18
  122. Sat Jun 30 00:09:58 2018 removing 8325900 relations and 6325900 ideals in 2000000 cliques
  123. Sat Jun 30 00:10:01 2018 commencing in-memory singleton removal
  124. Sat Jun 30 00:10:02 2018 begin with 83869124 relations and 68223883 unique ideals
  125. Sat Jun 30 00:10:25 2018 reduce to 83135600 relations and 61149416 ideals in 10 passes
  126. Sat Jun 30 00:10:25 2018 max relations containing the same ideal: 18
  127. Sat Jun 30 00:10:47 2018 removing 3280975 relations and 2621608 ideals in 659367 cliques
  128. Sat Jun 30 00:10:49 2018 commencing in-memory singleton removal
  129. Sat Jun 30 00:10:50 2018 begin with 79854625 relations and 61149416 unique ideals
  130. Sat Jun 30 00:11:10 2018 reduce to 79734717 relations and 58406903 ideals in 9 passes
  131. Sat Jun 30 00:11:10 2018 max relations containing the same ideal: 18
  132. Sat Jun 30 00:11:34 2018 relations with 0 large ideals: 4280819
  133. Sat Jun 30 00:11:34 2018 relations with 1 large ideals: 18148758
  134. Sat Jun 30 00:11:34 2018 relations with 2 large ideals: 30179990
  135. Sat Jun 30 00:11:34 2018 relations with 3 large ideals: 20495452
  136. Sat Jun 30 00:11:34 2018 relations with 4 large ideals: 5728499
  137. Sat Jun 30 00:11:34 2018 relations with 5 large ideals: 688741
  138. Sat Jun 30 00:11:34 2018 relations with 6 large ideals: 147741
  139. Sat Jun 30 00:11:34 2018 relations with 7+ large ideals: 64717
  140. Sat Jun 30 00:11:34 2018 commencing 2-way merge
  141. Sat Jun 30 00:11:59 2018 reduce to 44687266 relation sets and 23359452 unique ideals
  142. Sat Jun 30 00:11:59 2018 commencing full merge
  143. Sat Jun 30 00:15:19 2018 memory use: 2108.3 MB
  144. Sat Jun 30 00:15:22 2018 found 21580140 cycles, need 19380387
  145. Sat Jun 30 00:15:27 2018 weight of 19380387 cycles is about 1892642743 (97.66/cycle)
  146. Sat Jun 30 00:15:27 2018 distribution of cycle lengths:
  147. Sat Jun 30 00:15:27 2018 1 relations: 4284665
  148. Sat Jun 30 00:15:27 2018 2 relations: 1689601
  149. Sat Jun 30 00:15:27 2018 3 relations: 1266120
  150. Sat Jun 30 00:15:27 2018 4 relations: 1098919
  151. Sat Jun 30 00:15:27 2018 5 relations: 1029453
  152. Sat Jun 30 00:15:27 2018 6 relations: 971092
  153. Sat Jun 30 00:15:27 2018 7 relations: 939260
  154. Sat Jun 30 00:15:27 2018 8 relations: 904370
  155. Sat Jun 30 00:15:27 2018 9 relations: 870436
  156. Sat Jun 30 00:15:27 2018 10+ relations: 6326471
  157. Sat Jun 30 00:15:27 2018 heaviest cycle: 23 relations
  158. Sat Jun 30 00:15:28 2018 commencing cycle optimization
  159. Sat Jun 30 00:15:55 2018 start with 136916314 relations
  160. Sat Jun 30 00:18:56 2018 pruned 8540649 relations
  161. Sat Jun 30 00:18:56 2018 memory use: 3969.3 MB
  162. Sat Jun 30 00:18:56 2018 distribution of cycle lengths:
  163. Sat Jun 30 00:18:56 2018 1 relations: 4284665
  164. Sat Jun 30 00:18:56 2018 2 relations: 1743876
  165. Sat Jun 30 00:18:56 2018 3 relations: 1331307
  166. Sat Jun 30 00:18:56 2018 4 relations: 1164722
  167. Sat Jun 30 00:18:56 2018 5 relations: 1108122
  168. Sat Jun 30 00:18:56 2018 6 relations: 1053571
  169. Sat Jun 30 00:18:56 2018 7 relations: 1028240
  170. Sat Jun 30 00:18:56 2018 8 relations: 991227
  171. Sat Jun 30 00:18:56 2018 9 relations: 955419
  172. Sat Jun 30 00:18:56 2018 10+ relations: 5719238
  173. Sat Jun 30 00:18:56 2018 heaviest cycle: 23 relations
  174. Sat Jun 30 00:19:11 2018 RelProcTime: 10847
  175. Sat Jun 30 00:19:11 2018 elapsed time 03:00:48
  176. Sat Jun 30 08:26:06 2018
  177. Sat Jun 30 08:26:06 2018
  178. Sat Jun 30 08:26:06 2018 Msieve v. 1.52 (SVN unknown)
  179. Sat Jun 30 08:26:06 2018 random seeds: e28b1d9c ae82092d
  180. Sat Jun 30 08:26:06 2018 factoring 1984133939536354589303027747642021045122874173930740553315832970989684622609088659408935332189382042605741754839878732182271389575259718698134313541375575590360240175803193730105980774511023348271960042886569755527009 (217 digits)
  181. Sat Jun 30 08:26:07 2018 no P-1/P+1/ECM available, skipping
  182. Sat Jun 30 08:26:07 2018 commencing number field sieve (217-digit input)
  183. Sat Jun 30 08:26:07 2018 R0: 5575186299632655785383929568162090376495104
  184. Sat Jun 30 08:26:07 2018 R1: -1
  185. Sat Jun 30 08:26:07 2018 A0: -1
  186. Sat Jun 30 08:26:07 2018 A1: 0
  187. Sat Jun 30 08:26:07 2018 A2: 0
  188. Sat Jun 30 08:26:07 2018 A3: 0
  189. Sat Jun 30 08:26:07 2018 A4: 0
  190. Sat Jun 30 08:26:07 2018 A5: 0
  191. Sat Jun 30 08:26:07 2018 A6: 26
  192. Sat Jun 30 08:26:07 2018 skew 0.59, size 1.241e-12, alpha 0.805, combined = 1.345e-13 rroots = 2
  193. Sat Jun 30 08:26:07 2018
  194. Sat Jun 30 08:26:07 2018 commencing linear algebra
  195. Sat Jun 30 08:26:09 2018 read 19380387 cycles
  196. Sat Jun 30 08:26:35 2018 cycles contain 65302475 unique relations
  197. Sat Jun 30 08:32:44 2018 read 65302475 relations
  198. Sat Jun 30 08:34:28 2018 using 20 quadratic characters above 4294917296
  199. Sat Jun 30 08:38:58 2018 building initial matrix
  200. Sat Jun 30 08:47:54 2018 memory use: 8088.1 MB
  201. Sat Jun 30 08:48:08 2018 read 19380387 cycles
  202. Sat Jun 30 08:48:11 2018 matrix is 19379267 x 19380387 (7313.0 MB) with weight 2135048508 (110.17/col)
  203. Sat Jun 30 08:48:11 2018 sparse part has weight 1703875352 (87.92/col)
  204. Sat Jun 30 08:52:06 2018 filtering completed in 3 passes
  205. Sat Jun 30 08:52:09 2018 matrix is 19351578 x 19351778 (7307.0 MB) with weight 2133151439 (110.23/col)
  206. Sat Jun 30 08:52:09 2018 sparse part has weight 1702611072 (87.98/col)
  207. Sat Jun 30 08:53:15 2018 matrix starts at (0, 0)
  208. Sat Jun 30 08:53:17 2018 matrix is 19351578 x 19351778 (7307.0 MB) with weight 2133151439 (110.23/col)
  209. Sat Jun 30 08:53:17 2018 sparse part has weight 1702611072 (87.98/col)
  210. Sat Jun 30 08:53:17 2018 saving the first 48 matrix rows for later
  211. Sat Jun 30 08:53:20 2018 matrix includes 64 packed rows
  212. Sat Jun 30 08:53:22 2018 matrix is 19351530 x 19351778 (7028.8 MB) with weight 1778653617 (91.91/col)
  213. Sat Jun 30 08:53:22 2018 sparse part has weight 1649032589 (85.21/col)
  214. Sat Jun 30 08:53:22 2018 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  215. Sat Jun 30 08:54:40 2018 commencing Lanczos iteration (6 threads)
  216. Sat Jun 30 08:54:40 2018 memory use: 6002.8 MB
  217. Sat Jun 30 08:56:01 2018 linear algebra at 0.0%, ETA 277h39m
  218. Sat Jun 30 08:56:28 2018 checkpointing every 70000 dimensions
  219. Wed Jul 11 20:15:32 2018 lanczos halted after 306020 iterations (dim = 19351528)
  220. Wed Jul 11 20:15:48 2018 recovered 38 nontrivial dependencies
  221. Wed Jul 11 20:15:48 2018 BLanczosTime: 992981
  222. Wed Jul 11 20:15:48 2018
  223. Wed Jul 11 20:15:48 2018 commencing square root phase
  224. Wed Jul 11 20:15:48 2018 reading relations for dependency 1
  225. Wed Jul 11 20:15:50 2018 read 9672940 cycles
  226. Wed Jul 11 20:16:02 2018 cycles contain 32629244 unique relations
  227. Wed Jul 11 20:19:31 2018 read 32629244 relations
  228. Wed Jul 11 20:21:19 2018 multiplying 32629244 relations
  229. Wed Jul 11 20:43:08 2018 multiply complete, coefficients have about 962.03 million bits
  230. Wed Jul 11 20:43:11 2018 initial square root is modulo 427364941
  231. Wed Jul 11 21:06:26 2018 GCD is 1, no factor found
  232. Wed Jul 11 21:06:26 2018 reading relations for dependency 2
  233. Wed Jul 11 21:06:28 2018 read 9674252 cycles
  234. Wed Jul 11 21:06:40 2018 cycles contain 32625716 unique relations
  235. Wed Jul 11 21:10:09 2018 read 32625716 relations
  236. Wed Jul 11 21:11:56 2018 multiplying 32625716 relations
  237. Wed Jul 11 21:33:40 2018 multiply complete, coefficients have about 961.93 million bits
  238. Wed Jul 11 21:33:43 2018 initial square root is modulo 426486187
  239. Wed Jul 11 21:56:58 2018 GCD is N, no factor found
  240. Wed Jul 11 21:56:58 2018 reading relations for dependency 3
  241. Wed Jul 11 21:56:59 2018 read 9676553 cycles
  242. Wed Jul 11 21:57:11 2018 cycles contain 32624724 unique relations
  243. Wed Jul 11 22:00:43 2018 read 32624724 relations
  244. Wed Jul 11 22:02:31 2018 multiplying 32624724 relations
  245. Wed Jul 11 22:24:17 2018 multiply complete, coefficients have about 961.89 million bits
  246. Wed Jul 11 22:24:20 2018 initial square root is modulo 426183361
  247. Wed Jul 11 22:47:33 2018 sqrtTime: 9105
  248. Wed Jul 11 22:47:33 2018 prp91 factor: 1607560829569360179810324197401323086570492524150911658704247850846130929138277724541335291
  249. Wed Jul 11 22:47:33 2018 prp127 factor: 1234251235188327100065889382088435135849749275613232692319437946372164032864168545889740840098814254859973742708351660854025299
  250. Wed Jul 11 22:47:33 2018 elapsed time 278:21:27
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